1045754600 has 144 divisors (see below), whose sum is σ = 2711284800. Its totient is φ = 374774400.

The previous prime is 1045754581. The next prime is 1045754617. The reversal of 1045754600 is 64575401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1911527 + ... + 1912073.

Almost surely, 2^1045754600 is an apocalyptic number.

1045754600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355642400).

1045754600 is an abundant number, since it is smaller than the sum of its proper divisors (1665530200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1045754600 is a wasteful number, since it uses less digits than its factorization.

1045754600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1045754600 is about 32338.1291975896. The cubic root of 1045754600 is about 1015.0246622980.

The spelling of 1045754600 in words is "one billion, forty-five million, seven hundred fifty-four thousand, six hundred".